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Finding the Fourth Proportional to 310.24, 464.64 and 165.88

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Solution

The fourth proportional to 310.24, 464.64 and 165.88 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 464.64 = 165.88 : x
  2. Step 2: Convert to fraction form
    310.24/464.64 = 165.88/x
  3. Step 3: Cross multiply
    310.24x = 464.64 × 165.88
  4. Step 4: Simplify right side
    310.24x = 77,074.48
  5. Step 5: Solve for x
    x = 77,074.48/310.24
  6. Step 6: Final answer
    x = 248.44

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